1215325414400 has 132 divisors (see below), whose sum is σ = 3022179983652. Its totient is φ = 484573839360.

The previous prime is 1215325414393. The next prime is 1215325414409. The reversal of 1215325414400 is 44145235121.

It can be written as a sum of positive squares in 6 ways, for example, as 178773369856 + 1036552044544 = 422816^2 + 1018112^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1215325414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7936964 + ... + 8088636.

Almost surely, 2^{1215325414400} is an apocalyptic number.

1215325414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215325414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511089991826).

1215325414400 is an abundant number, since it is smaller than the sum of its proper divisors (1806854569252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1215325414400 is a wasteful number, since it uses less digits than its factorization.

1215325414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152016 (or 151993 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 1215325414400 in words is "one trillion, two hundred fifteen billion, three hundred twenty-five million, four hundred fourteen thousand, four hundred".